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Finding the Fourth Proportional to 6,090.55, 9,117.60 and 5,730.10

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Solution

The fourth proportional to 6,090.55, 9,117.60 and 5,730.10 is: 8,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.55 : 9,117.60 = 5,730.10 : x
  2. Step 2: Convert to fraction form
    6,090.55/9,117.60 = 5,730.10/x
  3. Step 3: Cross multiply
    6,090.55x = 9,117.60 × 5,730.10
  4. Step 4: Simplify right side
    6,090.55x = 52,244,759.76
  5. Step 5: Solve for x
    x = 52,244,759.76/6,090.55
  6. Step 6: Final answer
    x = 8,578.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.